Moot point, that act was repealed and the replacement did not mention natural born citizen.
Congress cannot change the Constitution.
And there have been 13 Eligibility Bills (2009-2011) in various states that demand proof of natural born American citizens status prior candidates being included on a respective state ballot. http://www.art2superpac.com/UserFiles/file/13eligibilitybillstable312.1.11.pdf
With humor, here is the one from Texas HB 529 written by Republican Leo Berman and cosponsored by 24 other Republicans. This is before they knew TEXAS Ted was Canadian, not A Texan by birth:
A BILL TO BE ENTITLED - AN ACT relating to certification for placement on the ballot of candidates for president or vice-president of the United States.
BE IT ENACTED BY THE LEGISLATURE OF THE STATE OF TEXAS:
SECTION 1. Section 192.033,
Election Code, is amended by
amending Subsection (a) and adding Subsection (d) to read as
follows:
(a) Except as provided by Subsection (c) or (d), the
secretary of state shall certify in writing for placement on the
general election ballot the names of the candidates for president
and vice-president who are entitled to have their names placed on
the ballot.
(d) The secretary of state may not certify the name of a
candidate for president or vice-president unless the candidate has
presented:
(1) the candidate’s original birth certificate
indicating the name of the hospital and the physician of record; or
(2) for a candidate whose birth was not documented in
the manner required by Subdivision (1), a document certifying the
CANDIDATE’S BIRTH IN THE UNITED STATES.
SECTION 2. This Act takes effect September 1, 2011.
http://openstates.org/tx/bills/82/HB529/